title: Individual differences in non-symbolic numerical abilities predict mathematical achievements but contradict ATOM.
abstract: BACKGROUND
  A significant debate surrounds the nature of the cognitive mechanisms involved in non-symbolic number estimation. Several studies have suggested the existence of the same cognitive system for estimation of time, space, and number, called "a theory of magnitude" (ATOM). In addition, researchers have proposed the theory that non-symbolic number abilities might support our mathematical skills. Despite the large number of studies carried out, no firm conclusions can be drawn on either topic.
  
  
  METHODS
  In the present study, we correlated the performance of adults on non-symbolic magnitude estimations and symbolic numerical tasks. Non-symbolic magnitude abilities were assessed by asking participants to estimate which auditory tone lasted longer (time), which line was longer (space), and which group of dots was more numerous (number). To assess symbolic numerical abilities, participants were required to perform mental calculations and mathematical reasoning.
  
  
  RESULTS
  We found a positive correlation between non-symbolic and symbolic numerical abilities. On the other hand, no correlation was found among non-symbolic estimations of time, space, and number.
  
  
  CONCLUSIONS
  Our study supports the idea that mathematical abilities rely on rudimentary numerical skills that predate verbal language. By contrast, the lack of correlation among non-symbolic estimations of time, space, and number is incompatible with the idea that these magnitudes are entirely processed by the same cognitive system.
authors.affiliation: Department of General Psychology, University of Padova, Italy. christian.agrillo@unipd.it
authors.forename: Christian
authors.initials: C
authors.lastname: Agrillo
authors.forename: Laura
authors.initials: L
authors.lastname: Piffer
authors.forename: Andrea
authors.initials: A
authors.lastname: Adriano
mesh_terms: D000328:Adult; D003071:Cognition; D005260:Female; D006801:Humans; D007206:Individuality; D008297:Male; D008433:Mathematics; D011582:Psychological Theory